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6x^3
Solving integrals/ 6x^3

Integral of 6x^3 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  6*x  dx
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∫016x3 dx\int\limits_{0}^{1} 6 x^{3}\, dx 
Integral(6*x^3, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    ∫6x3 dx=6∫x3 dx\int 6 x^{3}\, dx = 6 \int x^{3}\, dx

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x3 dx=x44\int x^{3}\, dx = \frac{x^{4}}{4}

    So, the result is: 3x42\frac{3 x^{4}}{2}

  2. Add the constant of integration:

    3x42+constant\frac{3 x^{4}}{2}+ \mathrm{constant}

The answer is:

3x42+constant\frac{3 x^{4}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
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 |    3          3*x 
 | 6*x  dx = C + ----
 |                2  
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3 x42{{3\,x^4}\over{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
3/2
32{{3}\over{2}} 
=
= 
3/2
32\frac{3}{2}
Simplify
Numerical answer [src] 
1.5
1.5
The graph
Integral of 6x^3 dx

    Use the examples entering the upper and lower limits of integration.

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